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Finding the Fourth Proportional to 32,505, 44,856.96 and 17,601

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Solution

The fourth proportional to 32,505, 44,856.96 and 17,601 is: 24,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505 : 44,856.96 = 17,601 : x
  2. Step 2: Convert to fraction form
    32,505/44,856.96 = 17,601/x
  3. Step 3: Cross multiply
    32,505x = 44,856.96 × 17,601
  4. Step 4: Simplify right side
    32,505x = 789,527,352.96
  5. Step 5: Solve for x
    x = 789,527,352.96/32,505
  6. Step 6: Final answer
    x = 24,289.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.